The stars were first spotted together in New York last month

By Tara Fowler
Updated March 12, 2015 05:40 PM
Credit: Karwai Tang/WireImage; Jamie McCarthy/Getty

Charsgard is heating up!

Fashionista Alexa Chung was seen out in Paris on Tuesday afternoon with her rumored beau, former True Blood star Alexander Skarsgard.

The pair, who were first spotted together in New York last month, arrived at Paris’s Gare du Nord just before 4 p.m., an observer tells PEOPLE.

From there, they got into the same car and headed to their hotel, where they made separate entrances.

Later that evening, the two were seen “cozily holding hands” at Caviar Kaspia, where they dined with a group of Chung’s pals, including Poppy Delevingne and Derek Blasberg, the New York Post reports.

Chung also shared snapshots of the fun night on Instagram.

Is this the beginning of a beautiful romance? Only time will tell.